64776000 has 112 divisors (see below), whose sum is σ = 213969600. Its totient is φ = 17267200.

The previous prime is 64775999. The next prime is 64776029. The reversal of 64776000 is 67746.

64776000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22651 + ... + 25349.

Almost surely, 2^64776000 is an apocalyptic number.

64776000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

64776000 is an abundant number, since it is smaller than the sum of its proper divisors (149193600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64776000 is a wasteful number, since it uses less digits than its factorization.

64776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 64776000 is about 8048.3538689598. The cubic root of 64776000 is about 401.6101763002.

The spelling of 64776000 in words is "sixty-four million, seven hundred seventy-six thousand".